Time: Is it infinite? There appears to be only a finite past but an infinite possible future.

Space: If it is infinite, how did infinitely distance places know how to synchronize their starting time with us (the horizon problem).

Fields: Do they contain infinite information? Algorithmic information theory tells us a field contains only the amount needed to specify it. Thus a gravitation field is defined through all space for a large mass M and a test particle m as exerting a force F = GMm/r2. But there is nothing substantial at an arbitrary point r. There is information there, in the form of knowledge about the gravitational force on m iff m is at that point. This is called "action-at-a-distance," but it is also "knowledge-at-a-distance."